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The length of the diagonals of a rhombus are 16cm and 12cm. The length of each side of the rhombus is(a) 8 cm (b) 9 cm (c) 10 cm (d) 12 cm |
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Answer» (c) 10 cm Explanation: Let ABCD be rhombus with AC and BD diagonals. Let AC and BD bisect at O. Therefore AO = 16/2=8 BO = 12/2=6cm In right angled triangle AOB, by Pythagoras theorem we can write as AB2=AO2+OB2 AB2=82+62 AB2= 64 + 36 AB= √ 100 AB =10 Length of rhombus is 10 cm |
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